BRST symmetry of doubled membrane sigma-models

Abstract

Courant sigma-models encode the geometric and non-geometric fluxes of compactified closed string theory as generalized Wess-Zumino terms and exhibit their relation to Courant algebroids. In recent work, we proposed a doubled membrane sigma-model that establishes the corresponding connection to double field theory and its algebroid structure. The strategy is to consider a "large" Courant sigma-model over a doubled target spacetime and identify a suitable projection that leads to a sigma-model for doubled fields. In this note, we provide further details for this construction. Starting from the BRST symmetry of the BV action that satisfies the classical master equation, we consistently project the BRST transformations of the superfields of the "large" Courant sigma-model to obtain the gauge transformations of the doubled membrane sigma-model. We show that demanding gauge invariance and the closure of gauge transformations of the worldvolume theory, leads to a condition that is in direct correspondence to the strong constraint of the target space double field theory.

arXiv comment13 pages; proceedings of "Dualities and Generalized Geometries", Corfu Summer Institute 2018. v2: typos corrected

References in corpus (19)

• Double Field Theory
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Superspace Duality in Low-Energy Superstrings
• Two-Vierbein Formalism for String-Inspired Axionic Gravity
• The gauge algebra of double field theory and Courant brackets
• Double Field Theory and N=4 Gauged Supergravity
• Exploring Double Field Theory
• Generalized complex geometry
• Frame-like Geometry of Double Field Theory
• Chern-Simons Gauge Theory coupled with BF Theory
• Topological Open P-Branes
• Double Field Theory and Membrane Sigma-Models
• Bianchi Identities for Non-Geometric Fluxes - From Quasi-Poisson Structures to Courant Algebroids
• Non-geometric Backgrounds and the First Order String Sigma Model
• BV Quantization of Topological Open Membranes
• Letters to Alan Weinstein about Courant algebroids
• Sigma models for genuinely non-geometric backgrounds
• Double field theory for the A/B-models and topological S-duality in generalized geometry
• The Algebroid Structure of Double Field Theory

Cited by in corpus (3)

• Global Aspects of Doubled Geometry and Pre-rackoid
• Higher dimensional Lie algebroid sigma model with WZ term
• Extended Field Theories as higher Kaluza-Klein theories